I found a language learning website. They offer their podcasts for free but only an iTunes link is provided. So iTunes for me, downloaded them all and put in a nice playlist to go through one by one and listen and learn.

7 Answers
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If you don't want to be shackled to iTunes for downloading/syncing the actual episodes, you can right-click the podcast in iTunes, and select Copy Podcast URL. It will copy the URL to the podcast feed to your clipboard.

Use this URL on your Android device to subscribe to the podcast there.

seriously though, I would contact the provider of the podcast. Many times they can make available the RSS feed, which many apps on Google Play can translate into a usable podcast. If they do not provide access this way, then unfortunately you are stuck unless someone engineers a way to access iTunes podcasts.

All podcasts on iTunes Directory have an RSS, that was submitted to iTunes' podcast directory - This means you can subscribe using Tunesviewer and Swallowcatcher on Android, for example.
–
NoBugsDec 16 '12 at 0:03

Another option is iSyncr. It will download your podcasts over USB/WiFi/Mac/PC. I've also added some specific podcast features like bookmark syncing, which work in combination with my other app, Rocket Player, so that you can listen to half a podcast on your computer and the other half while you are on the road.